This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.
%I A224733 #13 Apr 19 2016 18:29:55 %S A224733 1,2,36,8000,24010000,1016255020032,622345892187672576, %T A224733 5608296349498479967469568,752711194884611945703392100000000, %U A224733 1518219588672387021538193329290752000000000,46343145866349732399475841723454160331675252923826176 %N A224733 a(n) = binomial(2*n,n)^n. %C A224733 a(n) = A000984(n)^n, where A000984 is the central binomial coefficients. %F A224733 Logarithmic derivative of A224732 (when ignoring initial term a(0)=1). %F A224733 a(n) ~ exp(-1/8) * 4^(n^2) / (n^(n/2) * Pi^(n/2)). - _Vaclav Kotesovec_, Mar 04 2014 %e A224733 L.g.f.: L(x) = 2*x + 36*x^2/2 + 8000*x^3/3 + 24010000*x^4/4 + 1016255020032*x^5/5 +... %e A224733 Equivalently, %e A224733 L(x) = 2*x + 6^2*x^2/2 + 20^3*x^3/3 + 70^4*x^4/4 + 252^5*x^5/5 + 924^6*x^6/6 + 3432^7*x^7/7 + 12870^8*x^8/8 +...+ A000984(n)^n*x^n/n +... %e A224733 where exponentiation yields an integer series: %e A224733 exp(L(x)) = 1 + 2*x + 20*x^2 + 2704*x^3 + 6008032*x^4 + 203263062688*x^5 + 103724721990326528*x^6 +...+ A224732(n)*x^n +... %t A224733 Table[Binomial[2n,n]^n,{n,0,10}] (* _Harvey P. Dale_, Apr 19 2016 *) %o A224733 (PARI) {a(n)=binomial(2*n,n)^n} %o A224733 for(n=0,20,print1(a(n),", ")) %Y A224733 Cf. A224732, A000984. %K A224733 nonn,nice %O A224733 0,2 %A A224733 _Paul D. Hanna_, Apr 16 2013